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Finding the Third Proportional to 671.25 and 1,497.38

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Solution

The third proportional to 671.25 and 1,497.38 is: 3,340.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    671.25 : 1,497.38 = 1,497.38 : x
  2. Step 2: Convert to fraction form
    671.25/1,497.38 = 1,497.38/x
  3. Step 3: Cross multiply
    671.25x = 1,497.38 × 1,497.38
  4. Step 4: Simplify right side
    671.25x = 2,242,131.89
  5. Step 5: Solve for x
    x = 2,242,131.89/671.25
  6. Step 6: Final answer
    x = 3,340.23

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.